Functions and Transformations — Quiz

Question 1

Which graph represents an odd function?

Revolt · Accepted Answer

Image with description On a coordinate plane, a line curves up from quadrant 3 through (negative 2, 0) to (negative 1.6, 1.3). It then curves down through (0, 0) to (1.4, negative 1.3) and curves up through (2, 0).

Question 2

Review the graph of y=x7. Open image in full-screen view Which is the graph of y is equal to negative 7th root of x minus 8 ?

Revolt · Accepted Answer

Image with description On a coordinate plane, a line approaches y = negative 6 in quadrant 3, decreases through inflection point (0, negative 8), and then approaches y = negative 10 in quadrant 4.

Question 3

Which is the graph of y is equal to log sub 4 of open paren x plus 3 close paren ?

Revolt · Accepted Answer

Image with description On a coordinate plane, a curve approaches x = negative 3 and curves up through (negative 2, 0) and goes through (1, 1).

Question 4

Which transformations to the graph of j times x would result in the graph of j times 4 x minus 27 ?

Revolt · Accepted Answer

horizontal compression by a factor of 1 fourth , and a translation 27 units down

Question 5

Which is the graph of y is equal to cube root of 2 x ?

Revolt · Accepted Answer

Image with description On a coordinate plane, a curve starts at (0, 0) and curves up through (60, 5) and (80, 5.5).

Question 6

Which is the graph of y is equal to open paren x minus 1 close paren to the 4th power minus 3 ?

Revolt · Accepted Answer

Image with description On a coordinate plane, a parabola opens up. It goes through (negative 0.5, 0), has a vertex at (1, negative 3), and goes through (2, negative 2).

Question 7

The function h of x is equal to 12 x to the 8th power plus 49 is an even function. Which transformation of h of x would result in a function that is neither even nor odd?

Revolt · Accepted Answer

translation 8 units to the right

Question 8

Consider the function m⁡(x)=2x. Which is the graph of 1 third m x ?

Revolt · Accepted Answer

Image with description On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then curves up through (0, 0.6) and (4, 5) into quadrant 1.

Question 9

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f⁡(x)=50+10⁢log⁡x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g⁡(x)=f⁡(x)+10. Which shows the graphs of f of x and g of x ?

Revolt · Accepted Answer

Image with description On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).

Question 10

Consider the function f⁡(x)=x5−3⁢x2+5⁢x. Let g⁡(x)=f⁢(−x+4). Which shows the graphs of f of x and g of x ?

Revolt · Accepted Answer

Image with description On a coordinate plane, y = f (x) goes through (negative 0.5, negative 3) and (0, 0) to an inflection point around (0.8, 2.6) and then curves up through (1, 3). Y = g (x) goes through (4.5, negative 3) through (4, 0) to an inflection point around (3.3, 2.4) and then curves up through (3, 3).

Functions and Transformations — Quiz Answers

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