STAAR REVIEW: GRAPHS

1.

Multiple Choice

30 sec

1 pt

The graph of linear function g is shown on the grid. What is the zero of g ?

-9

-6

3

-8

2.

Multiple Choice

30 sec

1 pt

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y - intercept?

(1/3, 0)

(0, -2)

(0, 1/3)

(-2,0)

3.

Multiple Choice

30 sec

1 pt

What is the y - intercept of the line graphed on the grid ?

7

6

5.5

7.5

4.

Multiple Choice

30 sec

1 pt

The graph shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours the truck has been driven. What does the x - intercept of the graph represent ?

The number of gallons of fuel in the truck before any driving occurred

The number of hours the truck was driven before running out of fuel

The number of gallons of fuel the truck can hold

The number of hours required to use one gallon of fuel

5.

Multiple Choice

30 sec

1 pt

The graph shows the relationship between the number of cookies a presenter at a convention had left to give away and the number of presentations that she made. What does the x - intercept of the graph represent ?

The number of cookies the presenter had before making any presentations

The maximum number of cookies the presenter gave away during every presentation

The number of presentations the presenter made per hour

The maximum number of presentations the presenter made before running out of cookies

6.

Multiple Choice

30 sec

1 pt

What is the zero of the linear function graphed below ?

5

1

-1

-5

7.

Multiple Choice

30 sec

1 pt

What is the zero of r(x)= 8/3 x - 16

-16

-6

6

16

8.

Multiple Choice

30 sec

1 pt

Two functions are given above. How does the graph of p compare with the graph of q ?

The graph of p has a different y-intercept than the graph of q.

The graph of p is less steep than the graph of q.

The graph of p is steeper than the graph of q.

The graph of p is parallel to the graph of q.

9.

Multiple Choice

30 sec

1 pt

The graph of an exponential function is shown on the grid. Which dashed line is an asymptote of the graph ?

Line q

Line r

Line s

Line t

10.

Multiple Choice

3 mins

1 pt

Linear function y=x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to ½ and the y-intercept to 6. Which statement about the relationship between these two graphs is true?

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

11.

Multiple Choice

3 mins

1 pt

A student graphed f(x)=x and g(x)=f(x)+3 on the same coordinate plane. Which statement describes how the graphs of f and g are related?

The graph of f is shifted 3 units up to create the graph of g.

The graph of f is steeper than the graph of g.

The graph of f is less steep than the graph of g.

The graph of f is shifted 3 units down to create the graph of g.

12.

Multiple Choice

30 sec

1 pt

Which graph shows a line with an x-intercept of -5 ?

13.

Multiple Choice

30 sec

1 pt

Which graph represents -3x + 5y = - 15 ?

14.

Multiple Choice

30 sec

1 pt

The graph of quadratic function f is shown on the grid. What is the y-intercept of graph f?

4

-5

-1

-4

15.

Multiple Choice

30 sec

1 pt

The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

y = 6

x = 2

y = 4

x = 0

16.

Multiple Choice

3 mins

1 pt

Based on the information in the graph, what is the width of the porch greatest area?

175

50

25

350

17.

Multiple Select

3 mins

1 pt

Points (3 , 2) and (7 , 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward.

Which of these statements are true?

The graphs of f and g have the same axis of symmetry.

The graphs of f and g have the same x - intercepts.

The graph of f has a maximum point and the graph of g has a minimum point.

The graphs are equivalent.

18.

Multiple Choice

30 sec

1 pt

A graph of f(x) = 6x² - 11x + 3 is shown on the grid. What are the zeros of f ?

3

2 and 9

11/12

1/3 and 3/2

19.

Multiple Choice

30 sec

1 pt

The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, y-intercept, and vertex are integers. What is the maximum value of g ?

9

8

-4

0

20.

Multiple Choice

30 sec

1 pt

The graph of quadratic function g is shown below. Based on the graph, between which two values of x is a zero located?

-9 and -8

1 and 2

-7 and -5

4 and 5

21.

Multiple Choice

30 sec

1 pt

Which statement about the quadratic functions below is FALSE ?

f(x) = -3/4 x² + 6

g(x) = -2x² - 5

h(x) = 1/4 x² + 1

The graphs of two of these functions have a minimum point.

The graphs of all of these functions have the same axis of symmetry.

The graphs of two of these functions do not cross the x-axis.

The graphs of all of these functions have different y-intercepts.

22.

Multiple Choice

30 sec

1 pt

An architect student is drawing a graph of an arch. As shown above, the arch has the shape of a parabola that begins at the origin and has a vertex at (4.6 , 12.2). Other than the origin, at which point will the graph intersect the x-axis ?

(12.2 , 0)

(9.2 , 0)

(4.6 , 0)

(10.6 , 0)

23.

Multiple Choice

30 sec

1 pt

What is the vertex of the graph of the quadratic function

f(x) = x² + 6x + 10 ?

(3 , -1)

(-3 , -1)

(-3 , 1)

(3 , 1)

24.

Multiple Choice

30 sec

1 pt

Two points on the graph of a quadratic function are shown on the grid above. What is the equation for the axis of symmetry of the graph of this function ?

x = - 3

y = - 3

x = - 5

y = - 5

25.

Multiple Choice

30 sec

1 pt

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation ?

A horizontal shift to the right 7.5 units.

A horizontal shift to the left 7.5 units.

A vertical shift to the down 56.25 units.

A vertical shift to the up 56.25 units.

26.

Multiple Choice

30 sec

1 pt

The graph of f(x) = x² was transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h ?

27.

Multiple Choice

30 sec

1 pt

Function p is in the form y = ax² + c. If the values of a and c are both less than 0, which graph could represent p ?

28.

Multiple Choice

30 sec

1 pt

The graph of f(x) = x² is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x) = 7x² is true ?

The graph of g is narrower than the graph of f.

The graph of g is wider than the graph of f.

The graph of g is 7 units below the graph of f.

The graph of g is 7 units above the graph of f.

29.

Multiple Choice

30 sec

1 pt

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases ?

30.

Multiple Select

30 sec

1 pt

Choose all the TRUE statements about the graph of

y = 1/3 (2/3)^x .

The graph represents exponential decay.

The y - intercept is (0 , 2/3)

The graph has an asymptote at y = 3

The graph decreases from left to right.

The y - intercept is (0 , 1/3)

31.

Multiple Choice

30 sec

1 pt

Which graph best represents the solution set of y ≤ -4x

32.

Multiple Choice

30 sec

1 pt

Which graph best represents the solution set of y ≥ -7/2x - 2

33.

Multiple Choice

30 sec

1 pt

Which graph best represents the inequality -2x + 7y ≤ 112

34.

Multiple Choice

30 sec

1 pt

Which graph best represents the inequality -2x + 3y > 12

35.

Multiple Choice

30 sec

1 pt

Which graph best represents the inequality

12 ≤ -2x + 3y

36.

Multiple Select

30 sec

1 pt

Which statement(s) about the graph of

y = 10(0.75)^x are true?

Choose ALL that are true.

The coordinates of the x-intercept are (10,0).

The coordinates of the y-intercept are (0,10).

The equation of the asymptote is y = 0

The equation of the asymptote is x = 0

37.

Multiple Choice

15 mins

1 pt

Which rate of change represents the following graph?

1,000 feet per minute

1,000 minutes per foot

500 feet per minute

0.001 feet per minute

38.

Multiple Choice

5 mins

1 pt

The function
f(t) = -5t²+20t + 60
models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

4 seconds

-2 seconds

6 seconds

9 seconds

39.

Multiple Choice

5 mins

1 pt

Which graph best represents a quadratic function that has only one zero? ?

40.

Multiple Choice

30 sec

1 pt

What is the equation of the red graph pictured?

y = -3; slope is zero

x = -3; slope is zero

y = -3; slope is undefined

x = -3; slope is undefined

41.

Multiple Choice

30 sec

1 pt

What are the equation and slope of the line?

y = -2 ; slope is undefined

x = -2; slope is undefined

y = 2; slope is zero

x = 2; slope is zero

42.

Multiple Choice

5 mins

1 pt

The table shows the cost of long distance calls based on the number of minutes used. Based on the table, what was the rate of change of the cost per minute?

10 calls per minute

$.10 per minute

$.40 per minute

40 calls per minute.

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