Section 1.2 Homework Answer – Online Class Ready

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Section 1.2 Homework

1. Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

f (x) = \log_{9} (x)

g (x) = \sqrt[9]{x}

h (x) = \frac{2 x^{3}}{5 - x^{2}}

u (t) = 1 - 1.1 t + 2.55 t^{2}

v (t) = 3^{t}

w (θ) = \sin (θ) \cos^{4} (θ)

2. Match each equation with its graph. Explain your choices. (Don’t use a computer or graphing calculator.)

y = x^{2}

y = x^{5}

y = x^{8}

3. Match each equation with its graph. Explain your choices. (Don’t use a computer or graphing calculator.)

a. y=3x

y = 3^{x}

y = x^{3}

y = \sqrt[3]{x}

4. Find the domain of the function.

$f (x) = \frac{7 \cos (x)}{1 - \sin (x)}$

5. Find expressions for the quadratic functions whose graphs are shown.

f(x) =

g(x) =

6. Find an expression for a cubic function f if f(1) = 8 and f(−1) = f(0) = f(2) = 0.

f(x) =

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f (x) = \log_{9} (x)

g (x) = \sqrt[9]{x}

This question is taken from Math 261 – Calculus I » Spring 2022 » Homeworks

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