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- 1. Multiple Choice
Identify the Transformations.Vertical stretch by 2 and down 4Horizontal compression by ½ and down 4Vertical stretch by 2 and up 4Horizontal compression by ½ and right 4 - 2. Multiple ChoiceWhat does it mean to find the inverse of a function?the x's and y's are switchedthe x's and y's are divided by 2the x's and y's are made negativethe x's and y's are the same
- 3. Multiple ChoiceWhat transformations has the function undergone?reflect over y, vertical compress by 2, right 5, up 1reflect over x, horizontal compression by 2, left 5, up 1reflect over x, vertical stretch by 2, right 5, up 1reflect over y, horizontal stretch by -2, right 5, up 1
- 4. Multiple ChoiceWhat kind of function is represented by the graph?Cube Root FunctionCubic FunctionPolynomial FunctionSquare Root Function
- 5. Multiple ChoiceWhich of the facts is not true about the graph shown?The range is y ∈ ℝThe function has been shifted 6 units right.The function has been shifted up 1 unitThe function has been vertically stretched by a factor of 2.
- 6. Multiple ChoiceWhat is the equation for the red function?g(x)=x3+1g(x)=x3-1g(x)=(x-1)3g(x)=(x+1)3
- 7. Multiple ChoiceThe graph of a function is shown. What are the domain and range of this function?Domain: (-∞, ∞)
Range: (-∞, 2]Domain: [2, ∞)
Range: (-∞, ∞)Domain: (-∞, ∞)
Range: (-∞, ∞)Domain: (-∞, 2]
Range: [2, ∞) - 8. Multiple ChoiceIf f(x) = x3 is changed to f(x) = - (x + 3)3 + 2, how is the graph transformed?3 units right, 2 units up, reflected across the y-axis3 units right, 2 units up, reflected across the x-axis3 units left, 2 units up, reflected across the y-axis3 units left, 2 units up, reflected across the x-axis
- 9. Multiple ChoiceIf f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?1/4 ∛(x + 9)1/4 ∛(x - 9)- 1/4 ∛(x + 9)- 1/4 ∛(x - 9)
- 10. Multiple ChoiceWhat is the y-intercept of the following cubic function?(1, 0)(0, 2)(-1, 0)(2, 0)
- 11. Multiple ChoiceRe-write the expression in radical form.
x2/3∛x2√x3(1/x)∛x - 12. Multiple ChoiceFind the cube root.93-9-3
- 13. Multiple ChoiceThe range is y ≥ 1It has been reflected over the x-axisThe function has been shifted up 1 unitThe function has been shifted up 2 units
- 14. Multiple ChoiceWhat is the equation of this function?f(x) = (x + 2)3f(x) = (x - 2)3f(x) = ∛(x + 2)f(x) = ∛(x - 2)
- 15. Multiple ChoiceDescribe the transformation of the graph y = -2(x + 5)3Shrink by 2, Reflected over y-axis, Right 5Stretch by 2, Reflected over x-axis, Left 5Stretch by 2, Reflected over x-axis, Right 5Shrink by 2, reflected over y-axis, Left 5
- 16. Multiple ChoiceDescribe the transformation of the graph y = (x)3 + 6Right 6Left 6Up 6Down 6
- 17. Multiple ChoiceWhat transformations has the function undergone?reflect over y, vertical compress by 2, right 5, up 1reflect over x, horizontal compression by 2, left 5, up 1reflect over x, vertical stretch by 2, right 5, up 1reflect over y, horizontal stretch by -2, right 5, up 1
- 18. Multiple Choice
Who is Spongebobs Best friend? (BEST friend)
Pearl
Patrick
Squidward
Sandy
- 19. Multiple ChoiceWhat is the equation of the graph shown?y= (x-2)3 + 4y= (x+2)3 + 4y = - (x-2)3 + 4y= - (x+2)3 + 4
- 20. Multiple ChoiceWhat is the Domain of ALL Cube Root Functions in interval notation?(−∞,∞)−∞<x<∞(−∞,0]All Cube Root Functions are different.
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