Question 1

Which of the following is the correct equation for the identity function?

Accepted Answer

$$f(x) = x$$

Question 2

What is the domain of the reciprocal function $$f(x) = \frac{1}{x}$$?

Accepted Answer

$$x 
eq 0$$

Question 3

Which basic function is always increasing for all real numbers?

Accepted Answer

$$f(x) = x^3$

Question 4

For the function $$f(x) = |x|$$, which of the following statements is true?

Accepted Answer

It is even.

Question 5

Which function has a range of $$[0, \infty)$$?

Accepted Answer

$$f(x) = x^2$

Question 6

What is the interval of increase for the function $$f(x) = x^2$?

Accepted Answer

$$(0, \infty)$$

Question 7

Which function is neither even nor odd?

Accepted Answer

$$f(x) = \sqrt{x}$$

Question 8

The function $$f(x) = \ln x is $$defined for which values of $$x$$?

Accepted Answer

$$x \u003e 0$$

Question 9

Which function has a relative minimum at $$x = 0$$?

Accepted Answer

$$f(x) = x^2$

Question 10

For the function $$f(x) = \sqrt{x}$$, what is the domain?

Accepted Answer

$$[0, \infty)$$

Question 11

Which function is constant for all values of $$x$$?

Accepted Answer

$$f(x) = c$$

Question 12

What is the range of the reciprocal squared function $$f(x) = \frac{1}{x^2$}$$?

Accepted Answer

$$(0, \infty)$$

Question 13

Which function has no relative maximum or minimum?

Accepted Answer

$$f(x) = x^3$

Question 14

For the exponential function $$f(x) = e^x$$, what is the range?

Accepted Answer

$$(0, \infty)$$

Question 15

Which function is decreasing on $$(-\infty, 0)$$ and increasing on $$(0, \infty)$$?

Accepted Answer

$$f(x) = x^2$

Question 16

Which function is undefined at $$x = 0$$?

Accepted Answer

$$f(x) = \frac{1}{x}$$

Question 17

For the function $$f(x) = x^3$, what is the interval of increase?

Accepted Answer

$$(-\infty, \infty)$$

Question 18

Which function is odd?

Accepted Answer

$$f(x) = x^3$

Question 19

What is the domain of the cube root function $$f(x) = \sqrt[3]{x}$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 20

Which function has a graph that is symmetric about the origin?

Accepted Answer

$$f(x) = x^3$

Analyzing Basic Functions: Key Properties and Graphs

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