Quiz about Function Types and Transformations

Question 1

Which of the following is the equation of a constant function?

Accepted Answer

$$f(x) = 5$$

Answer

$$f(x) = 3x + 2$$

Answer

$$f(x) = x^2 - 4x + 4$$

Answer

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

Question 2

What is the domain of the square root function $$f(x) = \sqrt{x}$$ ?

Accepted Answer

$$[0, \infty)$$

Answer

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

Answer

$$(-\infty, 0]$$

Answer

$$[0, 1]$$

Question 3

Which function represents a quadratic function?

Accepted Answer

$$f(x) = x^2 - 3x + 1$$

Answer

$$f(x) = x^3 + 2x$$

Answer

$$f(x) = 2^x$$

Answer

$$f(x) = |x|$$

Question 4

Identify the range of the absolute value function $$f(x) = |x|$$ .

Accepted Answer

$$[0, \infty)$$

Answer

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

Answer

$$(-\infty, 0]$$

Answer

$$[0, 1]$$

Question 5

Which of the following functions is increasing for all real numbers?

Accepted Answer

$$f(x) = x^3$$

Answer

$$f(x) = -x^2$$

Answer

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

Answer

$$f(x) = |x|$$

Question 6

What is the end behavior of the exponential function $$f(x) = 2^x$$ as $$x o \infty$$ ?

Accepted Answer

$$f(x) o \infty$$

Answer

$$f(x) o 0$$

Answer

$$f(x) o -\infty$$

Answer

$$f(x)$$ oscillates

Question 7

Which transformation is applied to the function $$f(x) = x^2$$ to obtain $$g(x) = (x - 3)^2 + 2$$ ?

Accepted Answer

Horizontal shift right 3 units, vertical shift up 2 units

Answer

Horizontal shift left 3 units, vertical shift up 2 units

Answer

Horizontal shift right 3 units, vertical shift down 2 units

Answer

Horizontal shift left 3 units, vertical shift down 2 units

Question 8

Which of the following functions has a maximum point?

Accepted Answer

$$f(x) = -x^2$$

Answer

$$f(x) = x^2$$

Answer

$$f(x) = x^3$$

Answer

$$f(x) = 2^x$$

Question 9

What is the y-intercept of the linear function $$f(x) = 4x - 7$$ ?

Accepted Answer

$$-7$$

Answer

$$4$$

Answer

$$0$$

Answer

$$7$$

Question 10

Which of the following describes a reflection over the x-axis?

Accepted Answer

$$f(x) = -x^2$$

Answer

$$f(x) = x^2 + 3$$

Answer

$$f(x) = (x - 2)^2$$

Answer

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

Function Types and Transformations

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