Free Printable functions and graphs

1.

(a) functions are graphs

2.

$f\left(x\right)=x^2-2x+\frac{1}{4}x^3$ is _________________

a)

a polynomial

b)

a linear function

c)

a power function

d)

a quartic

3.

$f\left(x\right)=\cos\left(x\right)$

a)

odd function

b)

even function

c)

neither even nor odd function

4.

$t\left(x\right)=\ln\left(x\right).$ What is $t^{-1}\left(x\right)$ ?

(a)

5.

What type of function is shown in the figure?

a)

linear function

b)

polynomial function

c)

reciprocal function

d)

quadratic function

6.

FInd an expression for a cubic function g if g(1) = 6 and g(-1) = g(0) = g(2) = 0

a)

$g\left(x\right)=2x^3-2x^2+3x+1$

b)

$g\left(x\right)=-5x^3+4x^2-1$

c)

$g\left(x\right)=-x^3-3x^2+5x$

d)

$g\left(x\right)=-3x^3+3x^2+6x$

7.

Recent studies indicate that the average surface temperature of the earth has been rising steadily and is modeled by the function $T=0.02t+28.50$ where T is temperature in $\degree C$ and t represents number of years. Predict the average surface temperature of the earth from year 1922 to 2022.

a)

$30.5\degree C$

b)

$42\degree C$

c)

$37\degree C$

d)

$55.2\degree C$

8.

Find f(-1)

(a)

9.

A function is a rule that assigns to each value in the domain to (a) element in the range

10.

This figure shows a graph of a circle. Which of the following is NOT TRUE ?

a)

This graph fails the vertical line test

b)

For a point (x, y) on the graph, (x, -y) is also a point on the graph

c)

This graph is symmetric about the origin, the x-axis and the y-axis

d)

This graph is a function

functions and graphs

Total questions: 10

Worksheet time: 10mins

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