Question 1

Given the linear function $$f(x) = 3x + 5$$, what is the slope and y-intercept of the function?

Accepted Answer

Slope: $$3$$, y-intercept: $$5$$

Question 2

Suppose $$f(x) = 3x + 6$$ and $$g(x) = -x + 4. $$Solve for $$x$$ where $$f(x) = g(x).$$

Accepted Answer

$$x = -2$$

Question 3

A cellular phone plan is modeled by $$C(x) = 0.30x + 7$$, where $$x is $$the number of minutes used. If the bill is $220, how many minutes were used?

Accepted Answer

$$x = 710$$

Question 4

An object is propelled upward from a height of 6 feet with an initial velocity of 32 ft/s. Its height at time $$t is $$given by $$h(t) = -16t^2$ + 32t + 6. $$What is the maximum height attained by the object?

Accepted Answer

$$22$$ feet

Question 5

Which of the following graphs represents the function $$f(x) = 3x + 5$$?

Accepted Answer

Graph (a)

Question 6

Solve the inequality $$x^2 - x - 12$$ \leq 0$$.

Accepted Answer

$$-3 \leq x \leq 4$$

Question 7

Given the quadratic function $$f(x) = 2(x-2)^2$ - 2$$, describe the transformations applied to $$f(x) = x^2$.

Accepted Answer

Move 2 right, down 2, stretch of 2

Question 8

Find the vertex of the quadratic function $$f(x) = 2x^2$ - 3x - 2.$$

Accepted Answer

$$\left(\frac{3}{4}, -\frac{25}{8}\right)$$

Question 9

A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce a maximum enclosed area?

Accepted Answer

$$50 ft by$$ $$33\frac{1}{3} ft$$

Question 10

Given the quadratic function $$f(x) = -x^2$ - 4x$$, what is the axis of symmetry?

Accepted Answer

$$x = -2$$

Question 11

The revenue function for a new plasma television is given by $$R(p) = 900p - 0.1p^2$. What price p$ should be charged to maximize revenue?

Accepted Answer

$$p = 4500$$

Question 12

Solve the inequality $$-2x^2$$ \u003e -11x + 15$$.

Accepted Answer

$$-1 \u003c x \u003c 7.5$$

Question 13

Given the data: $$x = -2, -1, 0, 1, 2, 3$$ and $$y = -8, -4, -2, 2, 5, 7$$, what is the equation of the line passing through the points $$(-2, -8)$$ and $$(0, -2)$$?

Accepted Answer

$$y = 3x - 2$$

Question 14

Which scatter plot represents a linear relationship?

Accepted Answer

Plot (a)

Question 15

Find the maximum or minimum value of $$f(x) = 3x^2$ - 24x + 53$$ without graphing.

Accepted Answer

Question 16

Given $$f(x) = 2x^2$ + 2x + 3$$ and $$g(x) = x^2$ - 2x + 8$$, solve $$f(x) \u003e g(x).$$

Accepted Answer

$$x  2$$

Precalculus Study Guide: Linear and Quadratic Functions, Models, and Inequalities

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