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Graphing Exponential Functions

This worksheet covers Graphing Exponential Functions, which is part of the Exponential Functions module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Related Lessons:

Solving Exponential Equations

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Graphing Exponential Functions

Exponential Functions • SAT Math

Set 4 — Mastery

Consider the function $f(x) = 2^x$ . What is the value of $f(3)$ ?

The graph of which function has a horizontal asymptote at $y = 3$ ?

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

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

$f(x) = 3 \cdot 2^x$

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

If the function $g(x) = a \cdot b^x$ has a y-intercept of 5, what is the value of $a$ when $b = 3$ ?

What is the domain of the function $h(x) = 5^{x-1}$ ?

All real numbers

$x \geq 1$

$x > 0$

$x < 5$

Which of the following points lies on the graph of $f(x) = 4^x$ ?

(2, 16)

(1, 4)

(0, 1)

(3, 12)

The graph of $f(x) = 3^{x}$ passes through which of the following points?

(1, 3)

(0, 1)

(2, 9)

All of the above

If $h(x) = 7^{x} - 2$ , what is the y-intercept of the function?

-1

For the function $k(x) = 2^{x-2}$ , what is the effect of the transformation on the graph compared to $f(x) = 2^x$ ?

Shifted right by 2 units

Shifted left by 2 units

Shifted down by 2 units

No shift

Which of the following describes the end behavior of the function $p(x) = 0.5^x$ ?

Decreasing and approaches 0 as $x \to \infty$

Increasing and approaches 0 as $x \to \infty$

Constant

Decreasing and approaches infinity as $x \to \infty$

10.

What is the range of the function $q(x) = 3^x - 4$ ?

All real numbers

(-4, \infty)

(4, \infty)

[0, \infty)

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