Question 1

Which of the following best describes the function $$f(x) = 3x^6$ + 2x^4$ - x^2$?

Accepted Answer

Even, because $$f(-x) = f(x)$$ for all $$x.$$

Question 2

Given the function $$f(x) = 6x^3$ + 4x - 7$$, determine its symmetry.

Accepted Answer

Neither, because it contains both even and odd powers.

Question 3

Solve for $$x$$: $$3x - 4 - 3 = 0$$

Accepted Answer

$$x = 2$$

Question 4

Find the slope of the line given by $$y = -3x + 9.$$

Accepted Answer

$$-3$$

Question 5

What is the equation of the line in slope-intercept form that passes through $$(-2, 9)$$ with slope $$m = -4$$?

Accepted Answer

$$y = -4x + 1$$

Question 6

Solve for $$x$$: $$2x - 1 = x - 2$$

Accepted Answer

$$x = -1$$

Question 7

Given the relation $$\{(-2, 2), (-8, 3), (-2, 4), (-3, 9)\}$$, is this a function?

Accepted Answer

No, because $$x = -2 is $$paired with two different $$y$$ values.

Question 8

Find the $$x-$$intercept of the line $$2x - 3y = 6.$$

Accepted Answer

$$(3, 0)$$

Question 9

Find the $$y-$$intercept of the line $$2x - 3y = 6.$$

Accepted Answer

$$(0, -2)$$

Question 10

Solve for $$x$$: $$x^{2/3} = 64$

Accepted Answer

$$x = 256$$

Question 11

Given $$f(x) = 2x - 3 if$$ $$x \u003c 1$$ and $$f(x) = -5x + 4 if$$ $$x \geq 1$$, find $$f(2).$$

Accepted Answer

$$-6$$

Question 12

Given $$f(x) = 2x - 3 if$$ $$x \u003c 1$$ and $$f(x) = -5x + 4 if$$ $$x \geq 1$$, find $$f(-4).$$

Accepted Answer

$$-11$$

Question 13

Find the difference quotient for $$f(x) = x^2$ + 3x - 2.$$

Accepted Answer

$$2x + h + 3$$

Question 14

Solve by factoring: $$5x^4$$ - $$20x^2 = 0$

Accepted Answer

$$x = 0, x = 2, x = -2$$

Question 15

Find the slope of the line passing through $$(3, -2)$$ and $$(8, 7).$$

Accepted Answer

$$\frac{9}{5}$$

Question 16

Write the equation of the line in slope-intercept form passing through $$(-2, 5)$$ and $$(-1, 8).$$

Accepted Answer

$$y = 3x + 11$$

Question 17

What is the slope of the line $$y = 5$$?

Accepted Answer

$$0$$

Question 18

What is the slope of the line $$x = -2$$?

Accepted Answer

Undefined

Question 19

Solve for $$x$$: $$2x + 3 - 1 = -6x^2$ + 5x + 6$$

Accepted Answer

$$x = -1, x = 1/3$$

College Algebra Test 1 Review: Functions, Graphs, Equations, and Lines

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