Question the-gr

1.1 Linear Functions - Graphs in slope-intercept, point-slope, standard form
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The graph of function f is shown, where y=fx.

  • The line slants gradually up from left to right.
  • The line passes through the following points:
    • (negative 6 comma negative StartFraction 16 Over 5 EndFraction)
    • (0 comma 0)
    • (6 comma StartFraction 16 Over 5 EndFraction)

Which of the following describes function f ?

A.

Increasing linear

B.

Decreasing linear

C.

Increasing exponential

D.

Decreasing exponential

The graph of function f is shown, where y = f x . The line slants

Medium-difficulty · SAT Math · Linear Functions — Graphs in slope-intercept, point-slope, standard form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. The graph of function f shows that as x increases, fx also increases, which means fx is an increasing function. The graph of f is a line, which indies a constant rate of change. A function that has a constant rate of change is a linear function. Therefore, function f can be described as increasing linear.

Choice B is incorrect. For a decreasing function, as x increases, fx decreases, rather than increases.

Choice C is incorrect. For a decreasing function, as x increases, fx decreases, rather than increases, and the graph of an exponential function isn't a line.

Choice D is incorrect. The graph of an exponential function isn't a line.