Q: Which of the following is the correct definition of the absolute value of $$a$$?

$$|a| = a if$$ $$a \\geq 0$$, $$|a| = -a if$$ $$a \u003c 0$$

Q: Which of the following is the correct formula for converting degrees to radians?

$$ heta_{rad} = heta_{deg} \\times \\frac{}{180}$$

Q: Which of the following is the correct property of logarithms?

$$log_a(xy) = log_a(x) + log_a(y)$$

Q: Which of the following is the correct property of exponents?

$$a^m \\times a^n = a$$^{m+n}$$

Q: Which of the following is the correct formula for the tangent function in terms of sine and cosine?

$$tan(x) = frac{sin(x)}{cos(x)}$$

Question 1

Which of the following intervals represents all real numbers $$x$$ such that $$-3 \u003c x \leq 5$$?

Accepted Answer

$$(-3, 5]$$

Question 2

If $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(-2)$$?

Accepted Answer

Question 3

Which of the following is the correct definition of the absolute value of $$a$$?

Accepted Answer

$$|a| = a if$$ $$a \geq 0$$, $$|a| = -a if$$ $$a \u003c 0$$

Question 4

Which of the following is the equation of a line passing through $$(2, 3)$$ with slope $$-4$$?

Accepted Answer

$$y = -4x + 11$$

Question 5

What is the degree of the polynomial $$f(x) = 5x^4$ - 2x^3$ + x - 7$$?

Accepted Answer

$$4$$

Question 6

Which of the following is the correct formula for converting degrees to radians?

Accepted Answer

$$	heta_{rad} = 	heta_{deg} \times \frac{}{180}$$

Question 7

If $$f(x) = x^2$ and g(x) = x + 1$, what is f(g(2$$))$$?

Accepted Answer

$$f(g(2)) = 9$$

Question 8

Which of the following is the graph of $$y = -x^2$?

Accepted Answer

A parabola opening downwards

Question 9

What is the solution to the quadratic equation $$x^2 - 5x + 6 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 3$$

Question 10

Which of the following is the correct property of logarithms?

Accepted Answer

$$log_a(xy) = log_a(x) + log_a(y)$$

Question 11

If $$f(x) = 3^x$$, what is $$f(-2)$$?

Accepted Answer

$$frac{1}{9}$$

Question 12

Which of the following is the correct expression for the sine of $$45^$$?

Accepted Answer

$$sin(45^) = frac{}{2}$$

Question 13

Which of the following is the correct formula for the equation of a line in point-slope form?

Accepted Answer

$$y - y_1$ = m(x - x_1$)$$

Question 14

What is the value of $$x$$ that satisfies $$|x - 3| = 5$$?

Accepted Answer

$$x = 8 or$$ $$x = -2$$

Question 15

Which of the following is the correct property of exponents?

Accepted Answer

$$a^m \times a^n = a$$^{m+n}$$

Question 16

If $$f(x) = x^3$ and g(x) = 2x$, what is f(g(2$$))$$?

Accepted Answer

$$f(g(2)) = 64$$

Question 17

Which of the following is the correct formula for the cosine of $$60^$$?

Accepted Answer

$$cos(60^) = frac{1}{2}$$

Question 18

Which of the following is the correct formula for the natural logarithm function?

Accepted Answer

$$f(x) = ln(x)$$

Question 19

Which of the following is the correct formula for the tangent function in terms of sine and cosine?

Accepted Answer

$$tan(x) = frac{sin(x)}{cos(x)}$$

Precalculus Review: Essential Concepts and Functions

Study Guide - Practice Questions

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